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HARDMCQ SINGLEJEE Mains ChemistryPhysical ChemistryIonic equilibriumAchiever Section

How  many  milliliters  (mL)  of  a  0.0500  M  NaOH  (a strong  base)  solution  should  be  added  to  1.00  L  of 0.100 M H₃PO₄, solution to produce a buffer of pH = 2.00 ? For H₃PO₄, a K = 6.67 × 10–3 Given: H PO OH from NaOH H PO H O

A.200
B.400
C.600
D.800✓ Correct
Explanation

3 4 2 4 2 H PO OH H PO H O Initial:    0.1 mole      x mole Later:   (0.1 – x)mole    0                 x mole Using Henderson-Hasselbalch equation IONIC EQUILIBRIUM 64 2 4 a 3 4 3 H PO pH pK log H PO x pH log 6.67 10 log 0.1 x >> x Since, volume of 2 4 H POand 3 4 H PO will be same Thus 2 4 3 4 H PO log H PO can be written as 2 4 3 4 mole of log mole of H PO H PO Thus, x 2 2.17 log 0.1 x x 0.17 log 0.1 x x 0.676 0.1 x 0.0676 0.676x x x 0.04mole >> >> >> >> Thus, moles of  NaOH to be added is 0.04 moles. Thus, volume of

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